(x - 5i√2)(x +5i√2)
given the roots of a polynomial p(x), say x = a and x = b
then the factors are (x - a)(x - b)
and p(x) is the product of the factors ⇒ p(x) = (x - a)(x - b)
here x² + 50 = 0 ⇒ x² = - 50 → ( set = 0 for roots)
take the square root of both sides
x = ± √-50 = ± √(25 × 2 × -1) = √25 × √2 × √-1 = ± 5i√2
The roots are x = ± 5i√2
thus the factors are ( x - ( - 5i√2)) and (x - (+5i√2))
x² + 50 = (x + 5i√2)(x - 5i√2)
Answer:
Step-by-step explanation:
The given expression for water bottles is
.
The highest common factor of all the terms of this expression is 
.
We now factor to obtain;
Hence the the factorization that represents the number of water bottles and the weight of each bottle is the one in option B.
The correct answer is B
We therefore factor to obtain,
I believe that is ten right?
480 pennies.
25% are dated before 1980, therefore:
1200(total):100 = 12 (1%)
12(1%)x25 = 300 (25%)
35% are dated from 1980 to 2000, therefore:
12(1%)x35 = 420 (35%)
25% are dated before 1980, 35% are dated from 1980 to 2000 and the rest are dated after 2000.
25% + 35% = 60%.
300(25%) + 420(35%) = 720.
60% = 720.
100%-60% = 40%.
40% is the amount of pennies that are dated after 2000.
The total (100%) of the pennies is 1200.
We also know that 60% of the total (1200) is 720.
1200(100%) - 720(60%) = 480(40%).
Therefore, the amount of pennies dated after 2000 in Russell’s Collection is 480.
Answer:
3, 6, 9, 12, and so on, basically any number that can be divided by 3
